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Tuesday Seminar of Analysis
Seminar information archive ～12/24｜Next seminar｜Future seminars 12/25～
| Date, time & place | Tuesday 16:00 - 17:30 Room # (Graduate School of Math. Sci. Bldg.) |
|---|---|
| Organizer(s) | ISHIGE Kazuhiro, MIYAMOTO Yasuhito, SAKAI Hidetaka, MITAKE Hiroyoshi, TAKADA Ryo |
2014/06/10
16:30-18:00 Room #128 (Graduate School of Math. Sci. Bldg.)
Ken Abe (Nagoya University)
On estimates for the Stokes flow in a space of bounded functions (JAPANESE)
Ken Abe (Nagoya University)
On estimates for the Stokes flow in a space of bounded functions (JAPANESE)
[ Abstract ]
The Stokes equations are well understood on $L^p$ space for various kinds of domains such as bounded or exterior domains, and fundamental to study the nonlinear Navier-Stokes equations. The situation is different for the case $p=\\infty$ since in this case the Helmholtz projection does not act as a bounded operator anymore. In this talk, we show some a priori estimate for a composition operator of the Stokes semigroup and the Helmholtz projection on a space of bounded functions.
The Stokes equations are well understood on $L^p$ space for various kinds of domains such as bounded or exterior domains, and fundamental to study the nonlinear Navier-Stokes equations. The situation is different for the case $p=\\infty$ since in this case the Helmholtz projection does not act as a bounded operator anymore. In this talk, we show some a priori estimate for a composition operator of the Stokes semigroup and the Helmholtz projection on a space of bounded functions.
